The University of Southampton
Social Sciences: Social Statistics & DemographyPart of Social SciencesPostgraduate study

STAT6083 Generalised Linear Models

Module Overview

To introduce the modelling of relationships between variables with an emphasis on practical considerations.

Aims and Objectives

Aim

Having successfully completed this module, you will be able to:

  • Summarise data with an appropriate statistical model.
  • Use models to describe the relationship between a response and a set of explanatory variables.
  • Use models to investigate the association structure between variables.
  • Check the model.
  • Interpret the results of the modelling.
  • Use the statistical software package R to fit statistical models.

Transferable and Generic

Having successfully completed this module, you will be able to:

  • You will develop your report writing and computing skills.

Syllabus

Overview of statistical modelling, linear regression models, one-way contingency tables, quantile-quantile plots, two-way contingency tables, log-linear models for rates, dummy variables and interactions, model selection, log-linear models for multi-way contingency tables, logistic regression models, regression diagnostics, multinomial logistic regression models, models for ordinal data, random effects models, graphical Gaussian models, mixed interaction models, the testing trinity.

Learning and Teaching

Resources and reading list

There will be a blackboard site where all the module materials (slides, computer worksheets, assignments, list of books, etc.) will be made available. 

You will require access to R, which is available on the University's workstations and can be downloaded to your own computer for use with your studies.

A very useful text book which covers much of the syllabus is Agresti, A. Categorical Data Analysis, Second Edition. Wiley, 2002.

Agresti, A. An Introduction to Categorical Data Analysis, Second Edition. Wiley, 2007. Covers the basic topics at an introductory level.

Agresti, A. Categorical Data Analysis, Second Edition. Wiley, 2002. Covers logistic regression and log-linear models at an advanced level.

Dobson, A. J. An Introduction to Generalized Linear Models, Second Edition. Chapman & Hall, 2001. Covers the statistical theory underlying these models.

Fox, J. An R and S-PLUS Companion to Applied Regression. Sage Publications, 2002. Covers linear models and generalised linear models at an intermediate level as well as the R and S-PLUS functions needed to fit these models.

Fox, J. Applied Regression Analysis, Linear Models, and Related Methods. Sage Publications, 1997. Presents the underlying statistical theory.

Assessment

Assessment methods

Assessment Method Hours % contribution to final mark Feedback
Coursework 3500 word assignment   50%
Coursework   %
Exam 2 hours hour(s) 50%

Referral Method: By examination and a new coursework assignment

Costs

Costs associated with this course

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.

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